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Hello Aspirant,
You haven't mention your category. This is important because every category has different cutoffs.
According to your rank and according to previous year cutoff of IIITs and NITs there is less chance to get IIIT or NIT .
Don't worry there are some good college that help you .
If you want to know the colleges that you may get, you can use our College predictor tool, it will surely help you -
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
Hope this would be helpful to you.
All the best for your bright future ahead.
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